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Finding the Third Proportional to 116,891,714 and 186,161,763

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Solution

The third proportional to 116,891,714 and 186,161,763 is: 296,481,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,891,714 : 186,161,763 = 186,161,763 : x
  2. Step 2: Convert to fraction form
    116,891,714/186,161,763 = 186,161,763/x
  3. Step 3: Cross multiply
    116,891,714x = 186,161,763 × 186,161,763
  4. Step 4: Simplify right side
    116,891,714x = 34,656,202,003,268,168
  5. Step 5: Solve for x
    x = 34,656,202,003,268,168/116,891,714
  6. Step 6: Final answer
    x = 296,481,254.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.